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Finding the Fourth Proportional to 644.61, 967.11 and 401.31

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Solution

The fourth proportional to 644.61, 967.11 and 401.31 is: 602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.61 : 967.11 = 401.31 : x
  2. Step 2: Convert to fraction form
    644.61/967.11 = 401.31/x
  3. Step 3: Cross multiply
    644.61x = 967.11 × 401.31
  4. Step 4: Simplify right side
    644.61x = 388,110.91
  5. Step 5: Solve for x
    x = 388,110.91/644.61
  6. Step 6: Final answer
    x = 602.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.